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OTC 2L 8s
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Omnitetrachordal MODMOS scale
2L+8s
10 tones (4+2+4)
Pajara
MODMOS
. Best at lower ratios of L/s.
P
= 1.8849491924
Q
= 4.8274237885 (4/3 = L+2.5s)
L = 120.00 to 600.00 cents (192.18 cents @ P, 328.12 cents @ Q)
s = 0.00 to 120.00 cents (101.96 cents @ P, 67.97 cents @ Q)
9/8 = 2s (0.00 to 240.00 cents)
4/3 = L+3s (480.00 to 600.00 cents)
MOS
generator = s (0.00 to 120.00 cents)
MOS
period
= 1/2 octave (600.00 cents)
notable EDOs: 12, 14, 16, 22, 26
LssssLssss
(MOS, not OTC)
||
LsssssLsss
(OTC MODMOS) - gen chains 6,4
modes:
sssL ss sssL
Standard Pentachordal Minor
ssLs ss ssLs
-
sLss ss sLss
Alternate Pentachordal Major
Lsss ss Lsss
-
ss sssL sssL
-
ss ssLs ssLs
Alternate Pentachordal Minor
ss sLss sLss
sssL sssL ss
-
ss Lsss Lsss
ssLs ssLs ss
Standard Pentachordal Major
sLss sLss ss
-
Lsss Lsss ss
-
(The names of the modes are Paul Erlich's - see
http://lumma.org/tuning/erlich/erlich-decatonic.pdf
.)
See also
Omnitetrachordality
Gallery of omnitetrachordal scales
References
Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages
3685
and
10987
.
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2L+8s
10 tones (4+2+4)
Pajara MODMOS. Best at lower ratios of L/s.
P = 1.8849491924
Q = 4.8274237885 (4/3 = L+2.5s)
L = 120.00 to 600.00 cents (192.18 cents @ P, 328.12 cents @ Q)
s = 0.00 to 120.00 cents (101.96 cents @ P, 67.97 cents @ Q)
9/8 = 2s (0.00 to 240.00 cents)
4/3 = L+3s (480.00 to 600.00 cents)
MOS generator = s (0.00 to 120.00 cents)
MOS period = 1/2 octave (600.00 cents)
notable EDOs: 12, 14, 16, 22, 26
LssssLssss (MOS, not OTC)
||
LsssssLsss (OTC MODMOS) - gen chains 6,4
modes:
See also
References